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Finding the Fourth Proportional to 21,000.78, 31,502.39 and 5,418

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Solution

The fourth proportional to 21,000.78, 31,502.39 and 5,418 is: 8,127.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000.78 : 31,502.39 = 5,418 : x
  2. Step 2: Convert to fraction form
    21,000.78/31,502.39 = 5,418/x
  3. Step 3: Cross multiply
    21,000.78x = 31,502.39 × 5,418
  4. Step 4: Simplify right side
    21,000.78x = 170,679,921.93
  5. Step 5: Solve for x
    x = 170,679,921.93/21,000.78
  6. Step 6: Final answer
    x = 8,127.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.